I want to build a video voting page on Facebook.
Facebook users cannot enter the competition.
They can however vote for their favourite video and on voting post a message to their wall.

The video with the most votes will be declared the wining video.

edited

A random voter could also stand a chance on winning a prize.

here is an extract from the guidelines that i am unclear about.

3. You must not use Facebook features or functionality as a promotion’s registration or entry mechanism. For example, the act of liking a Page or checking in to a Place cannot automatically register or enter a promotion participant.
This is pretty self explanatory. Thus we cannot ask someone to “like” or vote for their favourite video in order to enter or a stand a chance to win. We can ask them to do these things, but not as a condition to be part of the competition.

1 Answer
1

The act of 'liking' a page or checking in to a place cannot automatically register or enter a promotion participant.
which just means that someone can not enter a promotion just by liking a page, and win something for just liking a page.
I don't think you would violate any terms for doing what you want to do.